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Finding the Fourth Proportional to 9,773.06, 14,656.76 and 4,772.34

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Solution

The fourth proportional to 9,773.06, 14,656.76 and 4,772.34 is: 7,157.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.06 : 14,656.76 = 4,772.34 : x
  2. Step 2: Convert to fraction form
    9,773.06/14,656.76 = 4,772.34/x
  3. Step 3: Cross multiply
    9,773.06x = 14,656.76 × 4,772.34
  4. Step 4: Simplify right side
    9,773.06x = 69,947,018.16
  5. Step 5: Solve for x
    x = 69,947,018.16/9,773.06
  6. Step 6: Final answer
    x = 7,157.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.